Preliminary Test Estimators and Phi-divergence Measures in Pooling Binomial Data

N. Martin, L. Pardo

Abstract


Two independent random samples are drawn from two Binomial populations with parameters theta1 and  theta2 respectively. Ahmed (1991) considered a preliminary test estimator based on maximum likelihood estimator for estimating theta1 when it is suspected that theta1=theta2.  In this paper we combine minimum phi-divergence estimators as well as phi-divergence test statistics in order to define a preliminary phi-divergence test estimators. These new estimators are compared with the classical estimator as well as the pooled estimator.


Keywords


Pooling Binomial data, Minimum phi-divergence estimator, Phi-divergence statistics, Preliminary tests estimators

Full Text:

PDF


DOI: http://dx.doi.org/10.18187/pjsor.v8i3.511

Refbacks

  • There are currently no refbacks.




Copyright (c)

Title

Preliminary Test Estimators and Phi-divergence Measures in Pooling Binomial Data

Keywords

Pooling Binomial data, Minimum phi-divergence estimator, Phi-divergence statistics, Preliminary tests estimators

Description

Two independent random samples are drawn from two Binomial populations with parameters theta1 and  theta2 respectively. Ahmed (1991) considered a preliminary test estimator based on maximum likelihood estimator for estimating theta1 when it is suspected that theta1=theta2.  In this paper we combine minimum phi-divergence estimators as well as phi-divergence test statistics in order to define a preliminary phi-divergence test estimators. These new estimators are compared with the classical estimator as well as the pooled estimator.


Date

2012-07-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810